Time-frequency analysis of chaotic systems

被引：127
|
作者：
Chandre, C
Wiggins, S
Uzer, T
机构：
[1] CNRS, Ctr Phys Theor, F-13288 Marseille 09, France
[2] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England
[3] Georgia Inst Technol, Sch Phys, Ctr Nonlinear Sci, Atlanta, GA 30332 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2003年 / 181卷 / 3-4期
关键词：
time-frequency analysis; wavelets; Hamiltonian systems;
D O I：
10.1016/S0167-2789(03)00117-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We describe a method for analyzing the phase space structures of Hamiltonian systems. This method is based on a time-frequency decomposition of a trajectory using wavelets. The ridges of the time-frequency landscape of a trajectory, also called instantaneous frequencies, enable us to analyze the phase space structures. In particular, this method detects resonance trappings and transitions and allows a characterization of the notion of weak and strong chaos. We illustrate the method with the trajectories of the standard map and the hydrogen atom in crossed magnetic and elliptically polarized microwave fields. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：171 / 196
页数：26
相关论文
共 50 条
  • [41] Time-Frequency Domain for BCG Analysis
    Moukadem, Ali
    Finnaoui, Azzeddine
    Gassara, Houssem E.
    Adolphe, Dominique
    Schacher, Laurence
    Dieterlen, Alain
    [J]. 2018 INTERNATIONAL CONFERENCE ON COMPUTER AND APPLICATIONS (ICCA), 2018, : 226 - 230
  • [42] Time-frequency analysis of intracranial compliance
    Penson, R
    [J]. WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL 8, PROCEEDINGS: CONCEPTS AND APPLICATIONS OF SYSTEMICS, CYBERNETICS AND INFORMATICS, 1999, : 193 - 198
  • [43] Weight functions in time-frequency analysis
    Groehenig, Karlheinz
    [J]. PSEUDO-DIFFERENTIAL OPERATORS: PARTIAL DIFFERENTIAL EQUATIONS AND TIME-FREQUENCY ANALYSIS, 2007, 52 : 343 - 366
  • [44] An architecture for the VLSI design of systems for time-frequency analysis and time-varying filtering
    Stankovic, S
    Stankovic, S
    Ivanovic, V
    Stojanovic, R
    [J]. ANNALS OF TELECOMMUNICATIONS, 2002, 57 (9-10) : 974 - 995
  • [45] Time-frequency analysis of the glottal opening
    Wokurek, W
    [J]. 1997 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I - V: VOL I: PLENARY, EXPERT SUMMARIES, SPECIAL, AUDIO, UNDERWATER ACOUSTICS, VLSI; VOL II: SPEECH PROCESSING; VOL III: SPEECH PROCESSING, DIGITAL SIGNAL PROCESSING; VOL IV: MULTIDIMENSIONAL SIGNAL PROCESSING, NEURAL NETWORKS - VOL V: STATISTICAL SIGNAL AND ARRAY PROCESSING, APPLICATIONS, 1997, : 1435 - 1438
  • [46] Time-frequency analysis of pediatric murmurs
    Lombardo, JS
    Blodgett, LA
    Rosen, RS
    Najmi, AH
    Thompson, WR
    [J]. BIOMEDICAL SENSING AND IMAGING TECHNOLOGIES, PROCEEDINGS OF, 1998, 3253 : 177 - 187
  • [47] A NEW TRANSFORM FOR TIME-FREQUENCY ANALYSIS
    KUMAR, A
    FUHRMANN, DR
    FRAZIER, M
    JAWERTH, BD
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1992, 40 (07) : 1697 - 1707
  • [48] Analysis of noise in time-frequency distributions
    Stankovic, L
    [J]. IEEE SIGNAL PROCESSING LETTERS, 2002, 9 (09) : 286 - 289
  • [49] Time-Frequency Analysis of the Impulse Response
    Galleani, Lorenzo
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2019, 67 (05) : 1280 - 1295
  • [50] Time-frequency analysis of Lamb waves
    Zheng, Xiangming
    Gu, Xianghua
    Shi, Lifeng
    Shi, Yaowu
    [J]. Shengxue Xuebao/Acta Acustica, 2003, 28 (04): : 368 - 374
12345